226.84 is what percent of 350 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 350 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 350, so we can write it down as 100%=350.
4. We know, that x% equals 226.84 of the output value, so we can write it down as x%=226.84.
5. Now we have two simple equations:
1) 100%=350
2) x%=226.84
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=350/226.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.84 is what percent of 350

100%/x%=350/226.84
(100/x)*x=(350/226.84)*x       - we multiply both sides of the equation by x
100=1.5429377534826*x       - we divide both sides of the equation by (1.5429377534826) to get x
100/1.5429377534826=x
64.811428571429=x
x=64.811428571429

now we have:
226.84 is 64.811428571429% of 350